Ideals Generated by Differential Equations

DOI10.17516/1997-1397-2020-13-2-170-186OpenAlexW3016170454MaRDI QIDQ5859200

Oleg V. Kaptsov

Publication date: 16 April 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.05441

zbMATH Keywords

Gröbner basespartial differential equationsdifferential rings and ideals

Mathematics Subject Classification ID

Representations of solutions to partial differential equations (35Cxx) Partial differential equations (35-XX) Partial differential equations on manifolds; differential operators (58Jxx) General topics in partial differential equations (35Axx)

Cites Work

• Local algebraic analysis of differential systems
• Involution. The formal theory of differential equations and its applications in computer algebra
• Systems of generators for ideals of algebra of convergent differential series
• Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering
• Modern Computer Algebra
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